Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 4
- /
- Pages.709-718
- /
- 1998
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
ON STRONG LAWS OF LARGE NUMBERS FOR 2-DIMENSIONAL POSITIVELY DEPENDENT RANDOM VARIABLES
-
Kim, Tae-Sung
(Department of Statistics, Wonkwang University)
;
- Beak, Hoh-Yoo (Department of Statistics, Wonkwang University) ;
-
Seo, Hye-Young
(Department of Statistics, Wonkwang University)
- Published : 1998.11.01
Abstract
In this paper we obtain strong laws of large numbers for 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our results imply extensions of Etemadi`s strong laws of large numbers for nonnegative random variables to the 2-dimensional case.
Keywords
- positive quadrant dependent random variables;
- associated random variables;
- strong law of large numbers;
- 2-dimensional array of random variables